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I am currently working on a problem, but at the moment I am stuck. I just don't know how to solve the problem so I hope someone can help me with it. This is the question

1a : Consider the standard mass-damper-spring system:

m y''+γ y'+k y=u

where the constants have the following values:

m=28

γ=3

k=13

First find the homogeneous solution to the differential equation using the DSolve command. This is also known as the transient solution. In other words, find the solution where u(t)=0. Use the initial values y(0)=1 and y^\[Prime](0)=1.

(* Use Set to assign your answer to the variable before this comment *)(* \

Your answer should be in the default output form produced by DSolve, \

which is a Rule within Lists.

The form should look similar to the following: *)

1b : What is the natural frequency Subscript[\[Omega], 0] of this system?

I hope someone can help me

Greets

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# Mathematica - Analysis of a mass-damper-spring system

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